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Finding the Third Proportional to 867,914 and 1,341,183

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Solution

The third proportional to 867,914 and 1,341,183 is: 2,072,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,914 : 1,341,183 = 1,341,183 : x
  2. Step 2: Convert to fraction form
    867,914/1,341,183 = 1,341,183/x
  3. Step 3: Cross multiply
    867,914x = 1,341,183 × 1,341,183
  4. Step 4: Simplify right side
    867,914x = 1,798,771,839,489
  5. Step 5: Solve for x
    x = 1,798,771,839,489/867,914
  6. Step 6: Final answer
    x = 2,072,523.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.